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Finding the Fourth Proportional to 1,834.76, 2,752.56 and 602.16

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Solution

The fourth proportional to 1,834.76, 2,752.56 and 602.16 is: 903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.76 : 2,752.56 = 602.16 : x
  2. Step 2: Convert to fraction form
    1,834.76/2,752.56 = 602.16/x
  3. Step 3: Cross multiply
    1,834.76x = 2,752.56 × 602.16
  4. Step 4: Simplify right side
    1,834.76x = 1,657,481.53
  5. Step 5: Solve for x
    x = 1,657,481.53/1,834.76
  6. Step 6: Final answer
    x = 903.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.